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  • 1980-1984  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Selective sums of loopy partizan graph games (1981)
    Springer
    International journal of game theory 10 (1981), S. 1-10 
    Details
    ISSN: 1432-1270
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract A loopy partizan graph game is a two-person game of perfect information which is played on a labelled digraph. The disjunctive sum, the continued conjunctive sum, and the selective sum are formulations for playing several l.p.g.g.'s simultaneously, so as to form a single compound game. In this paper, we present an analysis of the selective sum by utilizing certain elements of the theories for the disjunctive sum and the continued conjunctive sum.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01770067
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A complete analysis of Black-White Hackendot (1982)
    Springer
    International journal of game theory 11 (1982), S. 21-25 
    Details
    ISSN: 1432-1270
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract RecentlyÚlehla [1980] gave a complete analysis of an impartial two-person combinatorial game called Hackendot which was invented by von Neumann. In this note we consider a partizan (or unimpartial) variation of Hackendot. Úlehla's analysis uses the Sprague-Grundy theory for disjunctive sums of impartial games. Our analysis employs Conway's theory for disjunctive sums of partizan games, two certain “biased” ways of “adding” dyadic rationals, and the usual addition of numbers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01771244
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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